119161905408 has 1152 divisors, whose sum is σ = 467013120000. Its totient is φ = 29268615168.

The previous prime is 119161905391. The next prime is 119161905449. The reversal of 119161905408 is 804509161911.

119161905408 is a `hidden beast` number, since 1 + 1 + 9 + 16 + 1 + 90 + 540 + 8 = 666.

119161905408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2019693283 + ... + 2019693341.

Almost surely, 2^119161905408 is an apocalyptic number.

119161905408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119161905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233506560000).

119161905408 is an abundant number, since it is smaller than the sum of its proper divisors (347851214592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

119161905408 is an equidigital number, since it uses as much as digits as its factorization.

119161905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 119161905408 in words is "one hundred nineteen billion, one hundred sixty-one million, nine hundred five thousand, four hundred eight".